Shulph Ink
Introduction to Lipschitz Geometry of Singularities: Lecture Notes of the International School on Singularity Theory and Lipschitz Geometry, Cuernavaca, June 2018
Introduction to Lipschitz Geometry of Singularities: Lecture Notes of the International School on Singularity Theory and Lipschitz Geometry, Cuernavaca, June 2018
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Excellent- More about Introduction to Lipschitz Geometry of Singularities: Lecture Notes of the International School on Singularity Theory and Lipschitz Geometry, Cuernavaca, June 2018
This book provides an overview of the recent progress in Lipschitz geometry and singularities, building bridges to several major areas of singularity theory. It focuses on the problem of building classifications of germs up to local bi-Lipschitz homeomorphism and is aimed at graduate students and researchers from other fields of geometry.
Format: Paperback / softback
Length: 346 pages
Publication date: 12 January 2021
Publisher: Springer Nature Switzerland AG
This comprehensive book offers a thorough exploration of the significant recent advancements that have paved the way for the emergence of novel concepts in Lipschitz geometry and singularities, ultimately establishing connections to various prominent branches of singularity theory. By presenting all the necessary background through a series of introductory lectures, it also includes Pham and Teissier's groundbreaking, previously unpublished work on the Lipschitz classification of germs of plane complex algebraic curves.
While a real or complex algebraic variety possesses a topological structure locally conical, it generally fails to meet the criteria of metric conicality; certain regions of its connection with non-trivial topology exhibit a faster rate of shrinkage compared to linear growth as one approaches the special point. The core essence of Lipschitz geometry of singularities lies in the challenge of constructing classifications of germs up to local bi-Lipschitz homeomorphism. In this context, the Lipschitz geometry of a singular space germ corresponds to its equivalence class within this classification category.
The primary audience of this book consists of advanced graduate students and researchers from diverse fields of geometry who have a keen interest in delving into the numerous open questions posed by this emerging subject.
Weight: 556g
Dimension: 236 x 157 x 30 (mm)
ISBN-13: 9783030618063
Edition number: 1st ed. 2020
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